Search a number
-
+
10023045003004 = 221123616722310867
BaseRepresentation
bin1001000111011010110000…
…0010010111011011111100
31022111012020020110200221011
42101312230002113123330
52303204144010044004
633152305011245004
72053066253550055
oct221665402273374
938435206420834
1010023045003004
113214827670950
12115a6495a9764
13579227643487
142691919b372c
15125ac8192004
hex91dac0976fc

10023045003004 has 192 divisors, whose sum is σ = 20691347668992. Its totient is φ = 4203107884800.

The previous prime is 10023045002987. The next prime is 10023045003079. The reversal of 10023045003004 is 40030054032001.

It is a super-2 number, since 2×100230450030042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922332379 + ... + 922343245.

It is an arithmetic number, because the mean of its divisors is an integer number (107767435776).

Almost surely, 210023045003004 is an apocalyptic number.

It is an amenable number.

10023045003004 is an abundant number, since it is smaller than the sum of its proper divisors (10668302665988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023045003004 is a wasteful number, since it uses less digits than its factorization.

10023045003004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11256 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 10023045003004 its reverse (40030054032001), we get a palindrome (50053099035005).

The spelling of 10023045003004 in words is "ten trillion, twenty-three billion, forty-five million, three thousand, four".